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Shear-Stress Distribution Formula

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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = η \cdot VG

𝜏 - Shear Stress?η - Viscosity Coefficient?VG - Velocity Gradient?

Shear-Stress Distribution Example

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Here is how the Shear-Stress Distribution equation looks like with Values.

Here is how the Shear-Stress Distribution equation looks like with Units.

Here is how the Shear-Stress Distribution equation looks like.

0.02 = 0.001 \cdot 20

0.02Pa = 0.001Pa*s \cdot 20m/s

0.02 = 0.001 \cdot 20

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Shear-Stress Distribution Solution

Follow our step by step solution on how to calculate Shear-Stress Distribution?

FIRST Step Consider the formula

𝜏 = η \cdot VG

Next Step Substitute values of Variables

∴

𝜏 = 0.001Pa*s \cdot 20m/s

Next Step Prepare to Evaluate

∴

𝜏 = 0.001 \cdot 20

LAST Step Evaluate

∴

𝜏 = 0.02Pa

Shear-Stress Distribution Formula Elements

Variables

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Viscosity Coefficient

The Viscosity Coefficient is the ratio of applied stress to the rate of straining (change of strain with time).

Symbol: η

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Viscosity Coefficient

Velocity Gradient

Velocity Gradient is the difference in velocity between the adjacent layers of the fluid.

Symbol: VG

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity Gradient

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θ def = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

How to Evaluate Shear-Stress Distribution?

Shear-Stress Distribution evaluator uses Shear Stress = Viscosity Coefficient*Velocity Gradient to evaluate the Shear Stress, The shear-stress distribution formula is defined as the product of coefficient of viscosity and the velocity gradient at the wall of the body in hypersonic flow . Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear-Stress Distribution using this online evaluator? To use this online evaluator for Shear-Stress Distribution, enter Viscosity Coefficient (η) & Velocity Gradient (VG) and hit the calculate button.

FAQs on Shear-Stress Distribution

What is the formula to find Shear-Stress Distribution?

The formula of Shear-Stress Distribution is expressed as Shear Stress = Viscosity Coefficient*Velocity Gradient. Here is an example- 0.02 = 0.001*20.

How to calculate Shear-Stress Distribution?

With Viscosity Coefficient (η) & Velocity Gradient (VG) we can find Shear-Stress Distribution using the formula - Shear Stress = Viscosity Coefficient*Velocity Gradient.

Can the Shear-Stress Distribution be negative?

No, the Shear-Stress Distribution, measured in Stress cannot be negative.

Which unit is used to measure Shear-Stress Distribution?

Shear-Stress Distribution is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear-Stress Distribution can be measured.

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